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devlian [24]
2 years ago
15

Which of the following is a solution made up by x + y=27 and y=2x?

Mathematics
1 answer:
Softa [21]2 years ago
5 0

<u>Answer:</u>

4. x = 9 and y = 18

<u>Step-by-step explanation:</u>

<em>Hello</em> <em>there</em><em>!</em>

When given such a problem we have to methods to handle this:

  1. substitution method
  2. elimination method.

On this problem, let's limit ourself to substitution method;

x + y = 27 ..................... eq.1

y = 2x ........................ eq.2

Eq.2 is already manipulated. Substitute it into eq.1

x + y = 27

=> x + 2x = 27

3x = 27

x = 9

Substitute x into eq.2

y = 2 (9)

= 18

In terms of x and y;

(x, y) => (9, 18)

<em>I </em><em>hope</em><em> </em><em>this </em><em>helps</em><em> </em><em>you</em><em>.</em>

<em>Have</em><em> </em><em>a </em><em>nice </em><em>time</em><em> </em><em>and </em><em>nice </em><em>studies</em><em>.</em>

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Answer:

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Step-by-step explanation:

The equation of a circle is given by:

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The center of the circle is (1, -4).

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Please help me 33/2 + 3y/5 = 7y/10 + 15
8090 [49]

We are given with an equation in <em>variable y</em> and we need to solve for <em>y</em> . So , now let's start !!!

We are given with ;

{:\implies \quad \sf \dfrac{33}{2}+\dfrac{3y}{5}=\dfrac{7y}{10}+15}

Take LCM on both sides :

{:\implies \quad \sf \dfrac{165+6y}{10}=\dfrac{7y+150}{10}}

<em>Multiplying</em> both sides by <em>10</em> ;

{:\implies \quad \sf \cancel{10}\times \dfrac{165+6y}{\cancel{10}}=\cancel{10}\times \dfrac{7y+150}{\cancel{10}}}

{:\implies \quad \sf 165+6y=7y+150}

Can be <em>further written</em> as ;

{:\implies \quad \sf 7y+150=165+6y}

Transposing <em>6y </em>to<em> LHS</em> and <em>150</em> to<em> RHS </em>

{:\implies \quad \sf 7y-6y=165-150}

{:\implies \quad \bf \therefore \quad \underline{\underline{y=15}}}

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